Answer:
22. Perimeter = 52 units
Area = 160 Square Units
23. Notation form : [tex] 2 \times 10^{5}[/tex]
Standard Form : 200000
Step-by-step explanation:
22.
The formula for perimeter is
P = 2 (length + Width )
= 2 ( 2x+3x+1)
= 2(5x+1)
The Formula for Area of a rectangle is
A= length x width
A= [tex]2x \times (3x+1)[/tex]
A=[tex]6x^2+2x[/tex]
Now we have to find the Perimeter and Area for x = 5
P = 2(5 x 5 +1)
P= 2(26)
P=52 units
A= 6 x 5 x 5 + 2 x 5
A= 150 + 10
A= 160 square units
23.
A. By using rule of exponents , we can determine that both the results will be same.
B.
Miriam's calculation
[tex]\frac{2.8 \times 10^{9}}{1.4 \times 10^{4}}[/tex]
[tex]\frac{2.8}{1.4} \times 10^{9-4}[/tex]
[tex]2 \times 10^5[/tex]
Priya's calculation
[tex]\frac{2.8 \times 10^{2}}{1.4 \times 10^{-3}}[/tex]
[tex]\frac{2.8}{1.4} \times 10^{2-(-3)}[/tex]
[tex]2 \times 10^5[/tex]
Standard notation
[tex]2 \times 10^5 = 200000[/tex]
